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Finding the Fourth Proportional to 3,885.12, 5,827.68 and 1,576.80

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Solution

The fourth proportional to 3,885.12, 5,827.68 and 1,576.80 is: 2,365.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.12 : 5,827.68 = 1,576.80 : x
  2. Step 2: Convert to fraction form
    3,885.12/5,827.68 = 1,576.80/x
  3. Step 3: Cross multiply
    3,885.12x = 5,827.68 × 1,576.80
  4. Step 4: Simplify right side
    3,885.12x = 9,189,085.82
  5. Step 5: Solve for x
    x = 9,189,085.82/3,885.12
  6. Step 6: Final answer
    x = 2,365.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.